They have a common factor.

So what is the greatest common factor? Well there's only one common factor here

Well, there's a common factor, it looks like there's a common factor of 2y.

They both share the common factor two and they both share the common factor four.

And now, what are the common factors? Well, 1 is a common factor. 3 is also a common factor

That is their greatest common factor.

That's actually their greatest common factor.

Welcome to the greatest common divisor or greatest common factor video.

Three is a common factor of both.

1 1 is the only common factor

Or what is their greatest common factor?

So we're not just interested in finding a common factor, we're interested in finding the greatest common factor.

49 is a common factor here, so let me just factor that out.

In fact their greatest common factor is 5.

In fact, the greatest common factor is 3.

They both have a common factor with 3.

But they both have the common factor of?

Two is also a common factor of both.

And six is a common factor of both.

And of course, what's the greatest common factor?

In particular, they have the factor 3 in common.

Well, they both have the common factor of one.

Greatest common factor of twelve and eight equals four.

Now here, the greatest common factor is a 5.

largest number, or the largest common factor, of both 92 and 28, and divide both of these numbers by that common factor.

What is the greatest common factor of five and twelve?

It is common for children to cause trouble.

So the greatest common factor of twelve and eight is four.

So the greatest common factor of five and twelve is one.

Well, it turns out one is a common factor of both.

Now, is there any common factor to these numbers right here?

So the greatest common divisor or greatest common factor of twenty five and twenty, well, that equals five.

So the greatest common factor, or greatest common divisor, is going to be a product of these two

Now what's the greatest common factor of these two terms right here?

So we have a common factor in the numerator and the denonminator.

So it really looks like only common factor they share is one.

Hopefully you're ready to do the greatest common divisor or factor problems.

This top expression over here, we have a common factor of x.

So there is no common factor across all four of these terms.

And they both have s plus 5 as a common factor, so we can now factor out s plus 5.

So the greatest common factor is 2 times 5 times u times v.

Or they ask you what's the greatest common factor of twelve and eight?

Well, they definitely have a common factor, you have a negative 3 or positive 3 common to both of these.

All the Cossacks fight on the fronts for our common cause.

So the greatest common factor of 10 and 7, or the greatest common divisor, is going to be equal to 1